What is the Greatest Common Factor of 59340 and 59353?

Greatest common factor (GCF) of 59340 and 59353 is 1.

GCF(59340,59353) = 1

We will now calculate the prime factors of 59340 and 59353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59340 and 59353.

How to find the GCF of 59340 and 59353?

We will first find the prime factorization of 59340 and 59353. After we will calculate the factors of 59340 and 59353 and find the biggest common factor number .

Step-1: Prime Factorization of 59340

Prime factors of 59340 are 2, 3, 5, 23, 43. Prime factorization of 59340 in exponential form is:

59340 = 2² × 3¹ × 5¹ × 23¹ × 43¹

Step-2: Prime Factorization of 59353

Prime factors of 59353 are 7, 61, 139. Prime factorization of 59353 in exponential form is:

59353 = 7¹ × 61¹ × 139¹

Step-3: Factors of 59340

List of positive integer factors of 59340 that divides 59340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 43, 46, 60, 69, 86, 92, 115, 129, 138, 172, 215, 230, 258, 276, 345, 430, 460, 516, 645, 690, 860, 989, 1290, 1380, 1978, 2580, 2967, 3956, 4945, 5934, 9890, 11868, 14835, 19780, 29670

Step-4: Factors of 59353

List of positive integer factors of 59353 that divides 59340 without a remainder.

1, 7, 61, 139, 427, 973, 8479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59340 and 59353. The biggest common factor number is the GCF number.
So the greatest common factor 59340 and 59353 is 1.

Also check out the Least Common Multiple of 59340 and 59353